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Search: id:A056793
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A056793 Number of divisors of LCM(1,...,n). +0
1
1, 2, 4, 6, 12, 12, 24, 32, 48, 48, 96, 96, 192, 192, 192, 240, 480, 480, 960, 960, 960, 960, 1920, 1920, 2880, 2880, 3840, 3840, 7680, 7680, 15360, 18432, 18432, 18432, 18432, 18432, 36864, 36864, 36864, 36864, 73728, 73728, 147456, 147456, 147456 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)=d(LCM[1, .., n])=A000005(A003418(n))

EXAMPLE

n = 20: LCM(1,..,20) = 2.2.2.2.3.3.5.7.11.13.17.19 = 232792560 and d(232792560) = 5.3.64 = 960.

CROSSREFS

Cf. A000005, A003418.

Sequence in context: A062857 A061799 A076868 this_sequence A137387 A137394 A062856

Adjacent sequences: A056790 A056791 A056792 this_sequence A056794 A056795 A056796

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Aug 28 2000

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Last modified December 17 19:39 EST 2009. Contains 170821 sequences.


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